The sample sizes are quite large, so the central limit theorem applies. (It typically does as soon as the sample size exceeds 30 or so.) This means that the sample mean will be approximately normally distributed with the same mean 22 but standard deviation 3.1/√40 ≈ 0.4902.
Now, if the question is asking about the probability of the sample mean being an exact number, that probability would be zero.
But if you meant to ask something else, like "what is the probability that the sample mean is less than 21?" then we would have a non-zero probability. In this particular case, if Y is a random variable for the sample mean, then
Pr[Y < 21] = Pr[(Y - 22)/(3.1/√40) < (21 - 22)/(3.1/√40)]
… ≈ Pr[Z < -2.0402]
… ≈ 0.0207
In which number does the 5 have involve that is ten times the value of the number 5000?
A. 23,523
B. 7,508, 240
C. 45,701
D. 556,429
In the number 556,429, 5 have involve that is ten times the value of the number 5000.
The given numbers are 23,523, 7,508,240, 45,701 and 556,429.
What is the place value?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
Option A:
In the number 23,523, 5 is in the hundreds place. So, the value of 5 is 500.
In the number 7,508,240, 5 is in the hundred thousand place. So, the value of 5 is 500,000.
In the number 45,701, 5 is in the thousand place. So, the value of 5 is 5000.
In the number 556,429, 5 is in the ten thousand place and hundred thousand place. So, the value of 5 is 50000 and 500000.
Here, ten times the value of the number 5000 is 50000.
Therefore, in the number 556,429, 5 have involve that is ten times the value of the number 5000.
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LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation)
Answer:
See explanation
Step-by-step explanation:
Dilation of 4
G (0, 1) G' (0, 4)
F (1, 1) F' (4, 4)
Gx'/Gx = 0 / 0 = 0
Gy' / Gy = 4 / 1 = 4
Fx' / Fx = 4 / 1 = 4
Fy' / Fy = 4 / 1 = 4
Jonah and Jesse are taking a trip. Jonah left at 7 a.m. and travel at an average of 40 miles per hour. Jesse left at 10 a.m. and travel at average of 50 mph. At what time are they at the same place at the same time? Write a system of equations to represent this situation. Then use the substitution method with that system to determine at what time they will be in the same location. How many miles away from will they be at that time?
NO LINKS!
Answer:
y=40(t -7); y=50(t-10)t=22; 10 p.m.y=600 miles from homeStep-by-step explanation:
a) Let t represent the clock time (hours after midnight). The distance from home will be ...
distance = speed × time
jonah = 40(t -7)
jesse = 50(t -10)
jonah = jesse . . . . . . . same distance from home at the same time
(Note: you could let y = distance traveled and use y in both equations. That would give 2 equations in 2 unknowns, instead of 3 equations in 3 unknowns.)
__
b) substituting the first two equations into the second, we get ...
40(t -7) = 50(t -10)
4t -28 = 5t -50 . . . . . . . divide by 10, eliminate parentheses
22 = t
Jonah and Jesse will be at the same place at 10 p.m.
__
c) We can find the distance by substituting into either equation.
jonah = 40(22 -7) = 40(15) = 600
They will be 600 miles from home at that time.
Could someone explain how to solve this please?
Step-by-step explanation:
the diagaonls of rectangle interscet at x
find the angle that a diagaonl makes a longer side of the rectangle
The impact on sampling of increasing the sample size is: There is no specific relationship between sample size and sampling error.
Using margin of error, it is found that increasing the sample size results in a smaller sampling error.
The equation for the margin of error is given by:
[tex]M = c\frac{s}{\sqrt{n}}[/tex]
In which:
c is the critical value according to the distribution used.s is the standard deviation, either of the sample or of the population.n is the sample size.From the equation, it can be noted that the margin of error is inversely proportional to the square root of the sample size, hence, increasing the sample size results in a smaller sampling error.
To learn more about margin of error, you can take a look at https://brainly.com/question/25821952
the product of seven non-zero factors. of which only three are positive. is
a) positive
B) negative
c) null
Answer:
The answer is A
Step-by-step explanation:
This is one of those sneaky questions where you think there is no definite answer, but don't despair. There is an answer.
You have 7 numbers
3 of them are positive which means greater than 0. Let's pick them
3 4 5 = 60
That part's easy. Those 3 numbers give a plus result.
Now try the other 4 numbers
-3 - 2 - 1 - 4
Do you see what's going to happen. You have -3 * - 2 = 6
then you get - 1 * - 4 = 4
All of a sudden you get a positive result 6 * 4 = 24
60 * 24 = 1440
So the answer is any 3 plus numbers multiplied by 4 minus numbers gives a plus result.
Answer:
a) positive
Step-by-step explanation:
If 3 of the 7 numbers are positive, the other 4 are negative. The product of an even number of negative factors is positive. The product of any number of positive factors is positive.
The product is positive.
Please help!! Best answer gets brainliest<3
Answer:
-5.1
Step-by-step explanation:
Since we know the starting temperature was -12.6 and the decrease was 7.5, that gives an equation.
-12.6 - 7.5.
Since we are working in temperature we need to be careful when subtracting.
-12.6 - 7.5 = -5.1
In a calculator, -12.6 - 7.5 would be 20.1 but since we are using temperature the answer is -5.1.
Hope that helps. x
Mr. Jefferson's and Mr. Hamilton's fifth grade classes sold brownies every day at school for 6 months. If
the pattern continues, which class will earn more at the end of week 8? Use the table to help solve the
problem.
Answer:
It is B
Step-by-step explanation:
HURRY!! SUPER SUPER QUICK!!
i have 4,757 points!
ILL GIVE CROWN, STARS, and HEARTS if you answer correctly!
Problem:
6.02 Quiz: One-Step Multiplication or Division Inequalities
On k12
PLEASE ANSWER THEM ALL! VERY LEAST IS ALL YOU KNOW BUT PLEASE DO ALL, AMD CORRECTLY FOR CROWN!
Answer: m>-50
x<=3 3/4
at point -2.1 3rd arrow
at 1.33 4th arrow
at 4 2nd arrow
Step-by-step explanation:
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
answer is below
Step-by-step explanation:
ok so i kinda want u to learn so im just gonna tell you how to do them!
for the first set, what you do is put (y2-y1)/(x2-x1). for example, (16-6)/(3-18) is the slope.
for the second set, every problem is in y=mx+b form, where m is the slope. so for example in 37 the slope is 1/2
for the third set, use midpoint formula. x is (x1+x2)/2, and y is (y1+y2)/2
hope this helps!
PLEASE HELP ME GET ALL THESE QUESTIONS QUICKLY DONE I WILL MARK BRAINLIST PLS PLZ PLZZZZZ
Answer: look at explanation
Step-by-step explanation:
1st question: 48 / 60 = 80 %
2nd : 1/4 of 60 = 15 people
3rd : If 60% is 48 miles, than 10% is 8 miles. Therefore, 100% (his goal) = 80 miles.
4th: 1/4 of 88 = £22
What is m<9 = 130 degrees, What is m<4
Answer:
50 degrees
Step-by-step explanation:
They are alternate exterior angles, so they add up to 180 degrees.
Evaluate the expression 2-8 × 2-7=
Answer:
-21
Step-by-step explanation:
2-8 × 2-7 = 2-(8×2)-7
= 2-16-7
=-14-7
=-21
I need some help plsssss
Answer:
(6, - 5 )
Step-by-step explanation:
The parabola is symmetrical about x = 4
The point (2, - 5 ) is 2 units to the left of x = 4 ,then
the point 2 units to the right of x = 4 is (6, - 5 )
A taxi ride costs $3.50 plus $2.50 per mile driven. If Sasha has $37 in cash , what is the greatest whole number of miles she can ride in this taxi ? Happy Holiday ´ s...
Answer:13
Step-by-step explanation:
37-3.5=33.5
33.5/2.5=13.4
since it ask for the whole number, it will be 13
You are training for the upcoming bike and hike race. On the days you bike, you will ride 8 miles. On the days you hike, you will walk 3 miles. By the end of the training you want to have covered at least 200 miles. Write a linear inequality to represent this situation. Let x represent days biked and y represent days hiked.
Answer:
8x + 3y [tex]\geq[/tex] 200
Step-by-step explanation:
Help with this please?
The sequence -1, 1, -1, 1 and so on is
Answer:
-1 is the next one ithink
Solve 3/8+n = 7/8
N =
Answer:
n = 1/2 or 0.5
Step-by-step explanation:
Answer:
n=1/2
Step-by-step explanation:
To find "n", you need to subtract 3/8 from the left side, and do (7/8)-(3/8)(7/8) - (3/8) = 4/8 = 1/2Therefore, your answer is 1/2, or 0.5Tracy bought a can of yellow paint to use on the table and chairs in her backyard. She used 1.25 liters of paint on the chairs. She has less than 3 liters of paint left for the table.
The inequality that describes the given problem is x - 1.25 < 3.
The given parameters:
Number of paints used on the chair, = 1.25 LitersNumber of paints left for the table, less than 3 litersLet the number of liters in one can of yellow paint = x
The following inequality can be used to represent the liters of paint left for the table.
the liters of paint left = x - 1.25
The liters of paint left is less than 3 liters;
x - 1.25 < 3
Thus, the inequality that describes the given problem is x - 1.25 < 3.
The missing part of the question is below:
Write the inequality that describes the given problem
Learn more about word problem of inequality: https://brainly.com/question/1194852
Please help me solve
Answer:
i think t = 24
Step-by-step explanation:
68°+(5t-8)° = 180°
5t-8 = 180-68
5t-8 = 112
5t = 120
t = 120/5
t = 24
If f(x) and g(x) are inverse functions, find f(g(x)).
A)
-1
B)
0
C)
1
D)
х
Answer:
x.
Step-by-step explanation:
f(g(x)) = x.
Approximately what portion of the circle is shaded blue?
Answer: C. (1/6)
Step-by-step explanation: If you split the circle in half horizontally, the top part would be 1/3 and the bottom part would be 3/3. 1/3 + 3/3 = 4/6 and 4/6 simplified is 1/6.
3 ft of a 3 inch crown molding costs you $8.75 at the lumber store. How much would it cost for 31 ft?
Answer:
9.10 * 8.75 = 79.62
Step-by-step explanation:
Sorry if its wrong... :(
Please help I'll mark brainliest
A cook came across two cups and one saucer in a kitchen cupboard.
Bored for something to do, she weighed each item.
Altogether, the three items came to 12 ounces.
The larger cup with the saucer weighed exactly double of the smaller cup.
The smaller cup with the saucer weighed exactly the same as the larger cup.
What did each item weigh?
Answer: saucer 3 ounces smaller cup 3 ounces larger cup 6 ounces
Step-by-step explanation:
Extra Credit #4
What are the next two numbers in this pattern?
431
141311
1114111321
311431131211
Answer:
The next two numbers following:
431
141311
1114111321
311431131211
are:
132114132113111221
AND
11131221141113122113312211
Step-by-step explanation:
I shall explain the pattern below:
431 (just the digits 4, 3, and 1)
141311 (one 4 becomes 14, one 3 becomes 13, one 1 becomes 11 -> looking at each digit of the previous number, 431)
1114111321 (one 1 becomes 11, one 4 becomes 14, one 1 becomes 11, one three becomes 13, two consecutive 1s becomes 21 -> looking at each digit of the previous number, 141311)
311431131211 (three consecutive 1s becomes 31, one 4 becomes 14, 3 more consecutive 1s becomes 31, one 3 becomes 13, one 2 becomes 12, and one 1 becomes 11 -> looking at each digit of the previous number, 1114111321)
NEXT TWO NUMBERS:
one 3 (13), two consecutive 1s (21), one 4 (14), one 3 (13), two consecutive 1s (21), one 3 (13), one 1 (11), one 2 (12), two consecutive 1s (21)
that makes: 132114132113111221
one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 4 (14), one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 3 (13), three consecutive 1s (31), two consecutive 2s (22), one 1 (11)
that makes: 11131221141113122113312211
The rule is that the next number is essentially the previous number with the number of times each digit appears consecutively before each digit of the previous number. I know that sounds convoluted. Hopefully it makes enough sense. Let me know if I should explain more fully.
help me plsssssssssssssssss
Answer:
D
Step-by-step explanation:
Given that the starting population is 150 wolves, let the time when there will 25 wolves left be x, then
The increase in the number of wolves due to births is given by 150(1 + 0.15)^t = 150(1.15)^t
The decrease in the number of wolves due to dirths is given by 150(1 - 0.37)^t = 150(0.63)^t.
The number of wolves at time t is given by 150(1.15)^t - 150(0.63)^t = 150((1.15)^t - (0.63)^t).
Therefore, the function that could be used to predict when there will be 25 wolves in this group is 150((1.15)^t - (0.63)^t) = 25. (option D).
Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image A′B′C′D′. If the slope of is -2, what is the slope of ?
A.
-4
B.
-1
C.
-2
D.
0
Answer:
The slope is -2.
Answer is C
Answer:
the answer is c. -2
Step-by-step explanation:
Macy's is having an unbelievable sale this holiday season! All shirts are 205 off and all jeans are 25% off. How much would jeans cost after the sale if they had a price tag of $60?
Step-by-step explanation:
100% - 25% off = 75%
Here, 75% of the initial price X, is the sale price of jeans during the season which is $60.
75/100 × X = $60
75X/100 =$60
( cross multiply)
75X=100×60
75X= 6000
X=6000÷75
X= $80
Sean received both the 5th highest and the 5th lowest mark in the class. How many students are there in the class?
Answer:
There are 9 people in the class.
Step-by-step explanation:
Sean received the 5th highest grade in his class meaning that there are 4 people in front of him who got a higher grade. This also means that Sean has 4 people behind him who have lower grades. So,
4+4+1 (Sean himself) = 9 people
The number of students in the class is given by the sum of the frequency
of each score.
There are at least 9 students in the class.Reasons:
When the class scores are arranged in increasing order, we have;
Sean's position = 5 th = The fifth lowest score
Therefore;
The number of scores lower than Sean's score = 4When the scores are arranged in decreasing order, we have;
Sean's position = 5 th = Fifth highest score
Therefore;
The number of scores higher than Sean's score = 4The total number of different scores in the class = 4 + 1 + 4 = 9Given that two or more students can have the same score, the frequency
of each score, determines the number of students in the class, we have;
The number of students in the class, n ≥ 9Learn more about data frequency here:
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